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Finding the Fourth Proportional to 3,136.80, 4,707.09 and 2,313.30

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Solution

The fourth proportional to 3,136.80, 4,707.09 and 2,313.30 is: 3,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.80 : 4,707.09 = 2,313.30 : x
  2. Step 2: Convert to fraction form
    3,136.80/4,707.09 = 2,313.30/x
  3. Step 3: Cross multiply
    3,136.80x = 4,707.09 × 2,313.30
  4. Step 4: Simplify right side
    3,136.80x = 10,888,911.30
  5. Step 5: Solve for x
    x = 10,888,911.30/3,136.80
  6. Step 6: Final answer
    x = 3,471.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.